122033020113 has 12 divisors (see below), whose sum is σ = 177183236100. Its totient is φ = 80933815296.

The previous prime is 122033020091. The next prime is 122033020117. The reversal of 122033020113 is 311020330221.

122033020113 is a `hidden beast` number, since 1 + 220 + 330 + 2 + 0 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29442441744 + 92590578369 = 171588^2 + 304287^2 .

It is not a de Polignac number, because 122033020113 - 2³⁰ = 120959278289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122033020117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35125788 + ... + 35129261.

It is an arithmetic number, because the mean of its divisors is an integer number (14765269675).

Almost surely, 2^122033020113 is an apocalyptic number.

It is an amenable number.

122033020113 is a deficient number, since it is larger than the sum of its proper divisors (55150215987).

122033020113 is a wasteful number, since it uses less digits than its factorization.

122033020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70255248 (or 70255245 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122033020113 its reverse (311020330221), we get a palindrome (433053350334).

The spelling of 122033020113 in words is "one hundred twenty-two billion, thirty-three million, twenty thousand, one hundred thirteen".